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Finding the Third Proportional to 371,644 and 560,949

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Solution

The third proportional to 371,644 and 560,949 is: 846,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,644 : 560,949 = 560,949 : x
  2. Step 2: Convert to fraction form
    371,644/560,949 = 560,949/x
  3. Step 3: Cross multiply
    371,644x = 560,949 × 560,949
  4. Step 4: Simplify right side
    371,644x = 314,663,780,601
  5. Step 5: Solve for x
    x = 314,663,780,601/371,644
  6. Step 6: Final answer
    x = 846,680.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.